14.3: Sample Page and extra 2.3 exercises
- Page ID
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- Chapter 1 Homework and Solutions
- Chapter 2 Homework and Solutions
These homework assignments are from the 2nd editions of OpenStaxs Introduction to Calculus. Chapter 1 and Chapter 2
Some Exercises are Interactive. Example:
Statistics are everywhere. Think of some examples.
- Answer
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Sports scores, weather, polls, finance, and more.
What is the formula for finding the Probability of one event or the other event occurring?
- Answer
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\(P(A or B) = P(A) + P(B) - P(A and B)\)
Make sure you are in the right type of class for your learning style.
The math department strongly believes that students should pick classes based on how they learn best. So before signing up for a class just because of course meeting times, please take a moment to familiarize yourself with all of the different course modalities the LPC Math Department has to offer.
Saving some coding and examples from what was at the end of 2.3. These homework questions were just hanging out on the page. They should be relocated to the homework section, especially if we can find solutions (check Katheryn's book)
Homework
Exercise \(\PageIndex{1}\)
- Eyeglassomatic manufactures eyeglasses for different retailers. The number of lenses for different activities is in Table 2.1.4.
Activity Grind Multicoat Assemble Make frames Receive finished Unknown Number of lenses 18872 12105 4333 25880 26991 1508 Table 2.1.4: Data for Eyeglassomatic
Grind means that they ground the lenses and put them in frames, multicoat means that they put tinting or scratch resistance coatings on lenses and then put them in frames, assemble means that they receive frames and lenses from other sources and put them together, make frames means that they make the frames and put lenses in from other sources, receive finished means that they received glasses from other source, and unknown means they do not know where the lenses came from. Make a bar chart and a pie chart of this data. State any findings you can see from the graphs. - To analyze how Arizona workers ages 16 or older travel to work the percentage of workers using carpool, private vehicle (alone), and public transportation was collected. Create a bar chart and pie chart of the data in Table 2.1.5. State any findings you can see from the graphs.
Transportation type Percentage Carpool 11.6% Private Vehicle (Alone) 75.8% Public Transportation 2.0% Other 10.6% Table 2.1.5: Data of Travel Mode for Arizona Workers
- The number of deaths in the US due to carbon monoxide (CO) poisoning from generators from the years 1999 to 2011 are in table #2.1.6 (Hinatov, 2012). Create a bar chart and pie chart of this data. State any findings you see from the graphs.
Region Number of Deaths from CO While Using a Generator Urban Core 401 Sub-Urban 97 Large Rural 86 Small Rural/Isolated 111 Table 2.1.6: Data of Number of Deaths Due to CO Poisoning
- In Connecticut households use gas, fuel oil, or electricity as a heating source. Table 2.1.7 shows the percentage of households that use one of these as their principle heating sources ("Electricity usage," 2013), ("Fuel oil usage," 2013), ("Gas usage," 2013). Create a bar chart and pie chart of this data. State any findings you see from the graphs.
Heating Source Percentage Electricity 15.3% Fuel Oil 46.3% Gas 35.6% Other 2.85 Table 2.1.7: Data of Household Heating Sources
- Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made during the time period of January 1 to March 31. Table 2.1.8 gives the defect and the number of defects. Create a Pareto chart of the data and then describe what this tells you about what causes the most defects.
Defect type Number of defects Scratch 5865 Right shaped - small 4613 Flaked 1992 Wrong axis 1838 Chamfer wrong 1596 Crazing, cracks 1546 Wrong shape 1485 Wrong PD 1398 Spots and bubbles 1371 Wrong height 1130 Right shape - big 1105 Lost in lab 976 Spots/bubble - intern 976 Table 2.1.8: Data of Defect Type
- People in Bangladesh were asked to state what type of birth control method they use. The percentages are given in Table 2.1.9 ("Contraceptive use," 2013). Create a Pareto chart of the data and then state any findings you can from the graph.
Method Percentage Condom 4.50% Pill 28.50% Periodic Abstinence 4.90% Injection 7.00% Female Sterilization 5.00% IUD 0.90% Male Sterilization 0.70% Withdrawal 2.90% Other Modern Methods 0.70% Other Traditional Methods 0.60% Table 2.1.9: Data of Birth Control Type
- The percentages of people who use certain contraceptives in Central American countries are displayed in Graph 2.1.6 ("Contraceptive use," 2013). State any findings you can from the graph.
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Graph 2.1.6: Multiple Bar Chart for Contraceptive Types